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Finding the Fourth Proportional to 954.59, 1,431.88 and 467.78

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Solution

The fourth proportional to 954.59, 1,431.88 and 467.78 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.59 : 1,431.88 = 467.78 : x
  2. Step 2: Convert to fraction form
    954.59/1,431.88 = 467.78/x
  3. Step 3: Cross multiply
    954.59x = 1,431.88 × 467.78
  4. Step 4: Simplify right side
    954.59x = 669,796.50
  5. Step 5: Solve for x
    x = 669,796.50/954.59
  6. Step 6: Final answer
    x = 701.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.